Application of Center Manifold in Mechanical Systems

• Autorzy: Grzędziński J.
• Konferencja: German-Polish Workshop on Dynamical Problems in Mechanical Systems (7 ; 09.2001 ; Koszalin-Osieki, Poland)
• Języki publikacji: EN

Abstrakty

EN

In the paper the method of of center manifold reduction for mechanical systems described by integro-differential equations is briefly presented and applied to the limit cycle calculations of a three-dimensional thin airfoil placed in an incompressible flow. Limit cycle oscillations are caused by a cubic structural restoring force corresponding to theaileron rotation. It is emphasized, that the formal power series expansions used in the method of center manifold reduction may diverge and cause the method not to give satisfactory results for any mechanical system. An example is presented, when the method of center manifold reduction cannot even qualitatively predict the occurrence of a stable limit cycle and the use of other methods is necessary.

Słowa kluczowe

EN

bifurcation; center manifold; flutter

• Wydawca: Oficyna Wydawnicza Politechniki Warszawskiej
• Czasopismo: Machine Dynamics Problems
• Rocznik: 2001
• Tom: Vol. 25, No. 3/4
• Strony: 79--95
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Grzędziński J.

• Institute of Fundamental Technological Research, Polish Academy of Sciences